On a variational problem arising in crystallography
ESAIM: Control, Optimisation and Calculus of Variations (2007)
- Volume: 13, Issue: 1, page 72-92
- ISSN: 1292-8119
Access Full Article
top
Abstract
topHow to cite
topZaslavski, Alexander J.. "On a variational problem arising in crystallography ." ESAIM: Control, Optimisation and Calculus of Variations 13.1 (2007): 72-92. <http://eudml.org/doc/249925>.
@article{Zaslavski2007,
abstract = {
We study a variational problem which was introduced by Hannon,
Marcus and Mizel [ESAIM: COCV9 (2003) 145–149] to
describe step-terraces on surfaces of so-called “unorthodox” crystals.
We show that there is no nondegenerate intervals on which the absolute
value of a minimizer is $\pi/2$ identically.
},
author = {Zaslavski, Alexander J.},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Minimizer; surfaces of crystals; unorthodox crystal;
variational problem.; variational problem.},
language = {eng},
month = {2},
number = {1},
pages = {72-92},
publisher = {EDP Sciences},
title = {On a variational problem arising in crystallography },
url = {http://eudml.org/doc/249925},
volume = {13},
year = {2007},
}
TY - JOUR
AU - Zaslavski, Alexander J.
TI - On a variational problem arising in crystallography
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2007/2//
PB - EDP Sciences
VL - 13
IS - 1
SP - 72
EP - 92
AB -
We study a variational problem which was introduced by Hannon,
Marcus and Mizel [ESAIM: COCV9 (2003) 145–149] to
describe step-terraces on surfaces of so-called “unorthodox” crystals.
We show that there is no nondegenerate intervals on which the absolute
value of a minimizer is $\pi/2$ identically.
LA - eng
KW - Minimizer; surfaces of crystals; unorthodox crystal;
variational problem.; variational problem.
UR - http://eudml.org/doc/249925
ER -
References
top- B. Dacorogna and C.E. Pfister, Wulff theorem and best constant in Sobolev inequality. J. Math. Pures Appl.71 (1992) 97–118.
- I. Fonseca, The Wulff theorem revisited. Proc. R. Soc. Lond. A432 (1991) 125–145.
- J. Hannon, N.C. Bartelt, B.S. Swartzentruber, J.C. Hamilton and G.L. Kellogg, Step faceting at the (001) surface of boron doped silicon. Phys. Rev. Lett.79 (1997) 4226–4229.
- J. Hannon, M. Marcus and V.J. Mizel, A variational problem modelling behavior of unorthodox silicon crystals. ESAIM: COCV9 (2003) 145–149.
- H.C. Jeng and E.D. Williams, Steps on surfaces: experiment and theory. Surface Science Reports34 (1999) 175–294.
- W.W. Mullins, Theory of thermal grooving. J. Appl. Physics28 (1957) 333–339.
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.